{
  "id": "2107.13321",
  "version": "v2",
  "published": "2021-07-28T12:37:04.000Z",
  "updated": "2022-04-15T11:11:42.000Z",
  "title": "$G$-convergence of elliptic and parabolic operators depending on vector fields",
  "authors": [
    "Alberto Maione",
    "Fabio Paronetto",
    "Eugenio Vecchi"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We consider sequences of elliptic and parabolic operators in divergence form and depending on a family of vector fields. We show compactness results with respect to G-convergence, or H-convergence, by means of the compensated compactness theory, in a setting in which the existence of affine functions is not always guaranteed, due to the nature of the family of vector fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-04-15T11:11:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector fields",
      "parabolic operators",
      "compactness results",
      "affine functions",
      "compensated compactness theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}